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38799376 = 2472112409
BaseRepresentation
bin1001010000000…
…0100000010000
32201000012201221
42110000200100
534413040001
63503334424
7650534500
oct224004020
981005657
1038799376
111a9a0600
1210bb1414
138066215
14521da00
1536161a1
hex2500810

38799376 has 90 divisors (see below), whose sum is σ = 96354510. Its totient is φ = 15079680.

The previous prime is 38799337. The next prime is 38799401. The reversal of 38799376 is 67399783.

It can be written as a sum of positive squares in only one way, i.e., 37945600 + 853776 = 6160^2 + 924^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 94660 + ... + 95068.

Almost surely, 238799376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38799376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48177255).

38799376 is an abundant number, since it is smaller than the sum of its proper divisors (57555134).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38799376 is a wasteful number, since it uses less digits than its factorization.

38799376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 429 counting only the distinct ones).

The product of its digits is 1714608, while the sum is 52.

The square root of 38799376 is about 6228.9145121763. The cubic root of 38799376 is about 338.5386414087.

The spelling of 38799376 in words is "thirty-eight million, seven hundred ninety-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 121 154 176 196 242 308 392 409 484 539 616 784 818 847 968 1078 1232 1636 1694 1936 2156 2863 3272 3388 4312 4499 5726 5929 6544 6776 8624 8998 11452 11858 13552 17996 20041 22904 23716 31493 35992 40082 45808 47432 49489 62986 71984 80164 94864 98978 125972 160328 197956 220451 251944 320656 346423 395912 440902 503888 692846 791824 881804 1385692 1763608 2424961 2771384 3527216 4849922 5542768 9699844 19399688 38799376